The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
Abstract
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained.
Topics & Concepts
MathematicsRegular polygonCombinatoricsSteiner tree problemConvex functionConcave functionPure mathematicsDiscrete mathematicsGeometryPoint processes and geometric inequalitiesGeometry and complex manifoldsGeometric Analysis and Curvature Flows